Physics 247: Intro to Modern Physics I

What do vectors have

Magnitude and Direction (Lecture 1, Covered September 2)

Multiplying a vector by a scalar preserves what. What does it not preserve

Direction is preserved. Magnitude changes assuming the scalar is not equal to 1 (Lecture 1, Covered September 2)

What are the two ways to multiply vectors

Dot product and Cross product (Lecture 1, Covered September 2)

What is the algebraic definition of the dot product

Where A = <a₁,a₂,a₃> and B = <b₁,b₂,b₃> (Lecture 1, Covered September 2)

What is the geometric definition of the dot product

Where A = <a₁,a₂,a₃> and B = <b₁,b₂,b₃> (Lecture 1, Covered September 2)

What is the algebraic definition of the cross product

(Lecture 1, Covered September 2)

What is the geometric definition of the cross product

(Lecture 1, Covered September 2)

Of the two ways to multiply vectors, which results in a scalar and which results in a vector

Dot product results in a scalar and the cross product results in a vector (Lecture 1, Covered September 2)

Typically, what are the letters used to denote position, velocity and acceleration respectively

x, v, and a (Lecture 1, Covered September 2)

How are position, velocity, and acceleration related via calculus

(Lecture 1, Covered September 2)

What is an alternative notation for derivatives that is commonly used in physics

(Lecture 1, Covered September 2)

What is the arc length of a circle equal to in terms of it’s radius and angle

Delta s is the change in arc length, R is the radius of the circle, and Delta theta is the change in angle (Lecture 2, Covered September 4)

What is velocity in polar coordinates

Note, the vector r is r = xi +yj (Lecture 2, Covered September 4)

What is acceleration in polar coordinates

(Lecture 2, Covered September 4)

The components of the acceleration vector in polar coordinates have names. What are there names

(Lecture 2, Covered September 4)